On the Inclusion of Importances in OWA Aggregations

This work looks at the ways in which importances have been included in some notable examples of OWA operators and builds, using a fuzzy systems model, a general transform operator for the inclusion of importances.

Abstract

In this work we concentrate on the issue of the inclusion of importances in the OWA aggregation process. We first look at the ways in which importances have been included in some notable examples of OWA operators. We see that in these cases the importance is used to transform the scores into some effective score. Using this knowledge we build, using a fuzzy systems model, a general transform operator for the inclusion of importances. A second approach for the inclusion of importances is also discussed this approach requires the existence of a linguistic quantifier to generate the OWA weights modified by the importances.